Controling the number of focal elements

Christophe Osswald

doi:10.1007/978-3-642-29461-7

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arXiv · 1303.3422

Controling the number of focal elements

Christophe Osswald

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Abstract

A basic belief assignment can have up to 2^n focal elements, and combining them with a simple conjunctive operator will need O(2^2n) operations. This article proposes some techniques to limit the size of the focal sets of the bbas to be combined while preserving a large part of the information they carry. The first section revisits some well-known definitions with an algorithmic point of vue. The second section proposes a matrix way of building the least committed isopignistic, and extends it to some other bodies of evidence. The third section adapts the k-means algorithm for an unsupervized clustering of the focal elements of a given bba.

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Christophe Osswald. 2013-03-14. Controling the number of focal elements. https://doi.org/10.1007/978-3-642-29461-7

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